A press device comprising a press ring for pressing together tubular workpieces in between, and at least a first and a second pivotable jaw is described. The jaws comprise engagement sections. The press ring comprises receiving sections for receiving the engagement sections of the press jaws. A first and a second surface of the receiving sections, contact the engagement sections. Each of the first and second surface comprises a planar surface. The engagement sections comprise contact surfaces. The contact surfaces oppose each other for applying a press force F. The contact surfaces each comprise at least one convex surface, such that a radius of curvature r of the first and the second contact surface is larger than half a width Wx, Wz, measured perpendicular to an axis of curvature, of the respective first and second contact surface.